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Finding the Fourth Proportional to 381,726.99, 572,590.11 and 97,417.55

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Solution

The fourth proportional to 381,726.99, 572,590.11 and 97,417.55 is: 146,126.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,726.99 : 572,590.11 = 97,417.55 : x
  2. Step 2: Convert to fraction form
    381,726.99/572,590.11 = 97,417.55/x
  3. Step 3: Cross multiply
    381,726.99x = 572,590.11 × 97,417.55
  4. Step 4: Simplify right side
    381,726.99x = 55,780,323,751.87
  5. Step 5: Solve for x
    x = 55,780,323,751.87/381,726.99
  6. Step 6: Final answer
    x = 146,126.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.